LCM of 530, 512, 645, 770, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 512, 645, 770, 422 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 530, 512, 645, 770, 422. So, keep reading to learn more.
Given numbers are 530,512,645,770,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,512,645,770,422 is 284366691840.
Find LCM of 530,512,645,770,422 with Prime Factorization
| 2 | 530, 512, 645, 770, 422 |
| 5 | 265, 256, 645, 385, 211 |
| 53, 256, 129, 77, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 53 x 256 x 129 x 77 x 211 = 284366691840
Therefore, the lowest common multiple of 530,512,645,770,422 is 284366691840.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
530 x 512 x 645 x 770 x 422 = 56873338368000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
530 : 1, 2, 5, 10, 53, 106, 265, 530
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
645 : 1, 3, 5, 15, 43, 129, 215, 645
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,512,645,770,422, is 1.
Now, the common factors can be found like this.
530:2x 5x 53
512:2x 2x 2x 2x 2x 2x 2x 2x 2
645:3x 5x 43
770:2x 5x 7x 11
422:2x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 5 = 200
Therefore, the value for common factors is 200.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 56873338368000/(1x200)
LCM = 56873338368000/200
LCM = 284366691840
Thus, we can understand that the LCM of 530,512,645,770,422 is 284366691840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 530, 512, 645, 770, 422
1. What is the LCM of 530, 512, 645, 770, 422?
Answer: LCM of 530, 512, 645, 770, 422 is 284366691840.
2. How to calculate the LCM of 530, 512, 645, 770, 422?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 530, 512, 645, 770, 422.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.